universal quantifier

There are several rules of inference which utilize the universal quantifier.

However, in general only universal quantifiers at the outermost level can be eliminated this way.

Words such as all, every, always, never, nobody, etc., are universal quantifiers.

The universal quantifier says that all the things match a certain predicate or formula.

When it appears in a formula together with a predicate variable, they are referred to as a universal quantifier.

Note the implied universal quantifiers in the above axioms.

The next three logical axiom schemes provide ways to add, manipulate, and remove universal quantifiers.

Also, it is responsible for distinguishing universal quantifiers (variables).

A correct procedure is to first make universal quantifiers explicit, thus generating .

The existential and universal quantifiers in logic are similarly dual.